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Finding the Fourth Proportional to 27,916.70, 41,878.92 and 8,192.48

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Solution

The fourth proportional to 27,916.70, 41,878.92 and 8,192.48 is: 12,289.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,916.70 : 41,878.92 = 8,192.48 : x
  2. Step 2: Convert to fraction form
    27,916.70/41,878.92 = 8,192.48/x
  3. Step 3: Cross multiply
    27,916.70x = 41,878.92 × 8,192.48
  4. Step 4: Simplify right side
    27,916.70x = 343,092,214.52
  5. Step 5: Solve for x
    x = 343,092,214.52/27,916.70
  6. Step 6: Final answer
    x = 12,289.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.